"I want to buy a star map for my anniversary".
(Definite Article): Use "the" if you are referring to a specific map you’ve already discussed, such as one customized for a certain date or a particular brand. Quick Reference buy star map
The proper article depends on whether you are referring to a generic item or a specific, already-identified map: "I want to buy a star map for my anniversary"
"I decided to buy the star map we saw online". buy star map
(Indefinite Article): Use "a" if you mean any star map in general or if you haven't picked a specific one yet.